427595520 has 288 divisors, whose sum is σ = 1525837824. Its totient is φ = 101171200.

The previous prime is 427595489. The next prime is 427595557. The reversal of 427595520 is 25595724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238625 + ... + 2238815.

It is an arithmetic number, because the mean of its divisors is an integer number (5298048).

Almost surely, 2^427595520 is an apocalyptic number.

427595520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762918912).

427595520 is an abundant number, since it is smaller than the sum of its proper divisors (1098242304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427595520 is a wasteful number, since it uses less digits than its factorization.

427595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 427595520 is about 20678.3829154990. The cubic root of 427595520 is about 753.3747299325.

The spelling of 427595520 in words is "four hundred twenty-seven million, five hundred ninety-five thousand, five hundred twenty".